Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative

S Uçar, E Uçar, N Özdemir, Z Hammouch - Chaos, Solitons & Fractals, 2019 - Elsevier
This paper ensures meticulous mathematical study for analyzing the dynamics of smoking
model and its public health with Atangana–Baleanu derivative. The existence and …

[图书][B] Linear fractional diffusion-wave equation for scientists and engineers

Y Povstenko - 2015 - Springer
2.1 Integral transforms.......................... 5 2.1. 1 Laplace transform...................... 5 2.1. 2
Exponential Fourier transform............... 8 2.1. 3 Sin-Fourier transform.................... 10 2.1. 4 …

Fractional order model of immune cells influenced by cancer cells

E Ucar, N Özdemir, E Altun - Mathematical Modelling of Natural …, 2019 - mmnp-journal.org
In this paper, we study the mathematical model of interaction cancer cells and immune
system cells presented Castiglione and Piccoli. As the interaction between cancer cells and …

Approximation methods for solving fractional optimal control problems

SS Zeid, S Effati, AV Kamyad - Computational and Applied Mathematics, 2018 - Springer
In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …

A comprehensive review on fractional-order optimal control problem and its solution

A Abd-Elmonem, R Banerjee, S Ahmad… - Open …, 2023 - degruyter.com
This article presents a comprehensive literature survey on fractional-order optimal control
problems. Fractional-order differential equation is extensively used nowadays to model real …

An efficient approximate method for solving delay fractional optimal control problems

P Rahimkhani, Y Ordokhani, E Babolian - Nonlinear Dynamics, 2016 - Springer
In this paper, a new numerical method for solving the delay fractional optimal control
problems (DFOCPs) with quadratic performance index is presented. In the discussed …

A fractional SAIDR model in the frame of Atangana–Baleanu derivative

E Uçar, S Uçar, F Evirgen, N Özdemir - Fractal and Fractional, 2021 - mdpi.com
It is possible to produce mobile phone worms, which are computer viruses with the ability to
command the running of cell phones by taking advantage of their flaws, to be transmitted …

Analysis of nonlinear fractional control systems in Banach spaces

JR Wang, Y Zhou - Nonlinear Analysis: Theory, Methods & Applications, 2011 - Elsevier
In this paper, we consider the nonlinear control systems of fractional order and its optimal
controls in Banach spaces. Using the fractional calculus, Hölder's inequality, p-mean …

Fractional-order Lagrange polynomials: an application for solving delay fractional optimal control problems

S Sabermahani, Y Ordokhani… - Transactions of the …, 2019 - journals.sagepub.com
The main purpose of this work is to provide an efficient method for solving delay fractional
optimal control problems (DFOCPs). Our method is based on fractional-order Lagrange …

An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials

E Safaie, MH Farahi, M Farmani Ardehaie - Computational and applied …, 2015 - Springer
In this paper, we present a method for solving a class of fractional optimal control problems
with time delay. The method is based upon the Bernstein polynomial basis. The main reason …